what is 80 of 32

Natashya

2 min read

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25-12-2024

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Finding a percentage of a number is a common calculation in many areas of life, from calculating discounts to determining tax amounts. This article will guide you through calculating "What is 80% of 32?" using multiple methods, ensuring you understand the process completely.

Understanding Percentages

Before diving into the calculation, let's quickly refresh the concept of percentages. A percentage is a fraction out of 100. So, 80% means 80 out of 100, or 80/100.

Method 1: Converting Percentage to Decimal

This is arguably the most straightforward method. We convert the percentage to its decimal equivalent and then multiply it by the number.

Step 1: Convert the percentage to a decimal.

To convert 80% to a decimal, divide it by 100:

80% ÷ 100 = 0.80

Step 2: Multiply the decimal by the number.

Now, multiply the decimal (0.80) by 32:

0.80 × 32 = 25.6

Therefore, 80% of 32 is 25.6.

Method 2: Using Fractions

This method involves converting the percentage to a fraction and then performing the multiplication.

Step 1: Convert the percentage to a fraction.

80% can be written as the fraction 80/100. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 20:

80/100 = 4/5

Step 2: Multiply the fraction by the number.

Now, multiply the simplified fraction (4/5) by 32:

(4/5) × 32 = 128/5

Step 3: Convert the improper fraction to a decimal.

To get the decimal equivalent, divide the numerator (128) by the denominator (5):

128 ÷ 5 = 25.6

Again, we find that 80% of 32 is 25.6.

Method 3: Using a Proportion

This method uses the concept of proportions to solve the problem.

Step 1: Set up a proportion.

We can set up a proportion as follows:

80/100 = x/32

Where 'x' represents the unknown value (80% of 32).

Step 2: Cross-multiply and solve for x.

Cross-multiplying, we get:

100x = 80 × 32

100x = 2560

Divide both sides by 100:

x = 2560 ÷ 100

x = 25.6

Once more, the answer is 25.6.

Conclusion

We've demonstrated three different methods to calculate 80% of 32, all leading to the same answer: 25.6. Choose the method that you find most comfortable and easy to understand. Understanding percentage calculations is a valuable skill with applications in various aspects of daily life and professional settings.